25444074240 has 288 divisors, whose sum is σ = 97238312640. Its totient is φ = 6263046144.

The previous prime is 25444074239. The next prime is 25444074263. The reversal of 25444074240 is 4247044452.

25444074240 is a `hidden beast` number, since 2 + 5 + 4 + 4 + 407 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25444074195 and 25444074204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420964 + ... + 477596.

It is an arithmetic number, because the mean of its divisors is an integer number (337633030).

Almost surely, 2^25444074240 is an apocalyptic number.

25444074240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25444074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48619156320).

25444074240 is an abundant number, since it is smaller than the sum of its proper divisors (71794238400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25444074240 is a wasteful number, since it uses less digits than its factorization.

25444074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56676 (or 56656 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 36.

The spelling of 25444074240 in words is "twenty-five billion, four hundred forty-four million, seventy-four thousand, two hundred forty".